How many different committees can be formed from 12 teachers Abs 43 students of the committee consists of 4 teachers and 3 students ? In how many ways can the committee of 7 members be selected ?

Answers

Answer 1

Answer:

6108795

Step-by-step explanation:

To obtain the number of ways the committee can be selected :

4 teachers from the 12 teachers available and 3 students from the 43 students available

Using combinatorics :

12C4 * 43C3

recall :

nCr = n! ÷ (n - r)!r!

Using calculator :

12C4 = 495

43C3 = 12341

12C4 * 43C3

495 * 12341

= 6108795


Related Questions

PLEASE HELP I AM ABOUT TO FAILL
Suppose that a plano cost 5,000 and loses 20% of its value oach year. table shows the value, of a piano after years.

1. 5000
2. 4000
3. 3200

write an equation that can be used to find the value of the piano, v, after t years.

Answers

Answer:

Step-by-step explanation:

90

Based on the information, the value of the piano after 16 years is $140.74.

What is Compound interest?

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Using this formula to find the value of the piano, v, after t years.

CP = Principal(1-rate)[tex]^t[/tex]

Where:

Principal=$5,000

Rate=20%

Number of year = 16 years

Let plug in the formula;

=5,000(1-0.20)^16

=5,000(.80)^16

=$140.737

= $140.74 (Approximately)

Hence, the value of the piano after 16 years is; $140.74.

Learn more about interest here;

https://brainly.com/question/1548909

#SPJ2

Trying again, but im attaching the screenshot this time!

Answers

Answer:

the area of a triangle is 9 because 4.24 times 4.24 equals 17.9776 estimated is 18 divided by 2 is 9 times 4 is 36. Now we divide 36 by 2 so we know what the area of the two trapezoids so we know the top and the bottom which is 18. The area of the square in between the triangles is 4.24 times 6 which is 25.22 estimated is 26. Now we add 26 with 18 which is 34. Now we have to find the area of the rectangle to do this we need to multiply 7.24 and 2 we need to do this so we know the length of the rectangle which is 14.48 estimated is 14. Now that we know the length we multiply it with the height which is 6, 14 times 6 equals  84.

84 is the rectangles area and the area for the trapezoids is 36.

84 plus 18 plus 18 equals 120 squared


What is another way of writing 5(6+3) using to distribute property

Answers

B is another way. hope this helps

Answer:

The multiplication of 5(6) and 5(3) will each be done before you add.

5(6) + 5(3) = 30 + 15 = 45. Note that the answer is the same as before.

Step-by-step explanation:

hope this helps...

have a nice weekend ヽ(ヅ)ノ

oh and if i was supposed to follow something sorry cuz i can't see the pic...

Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.

Answers

Distance equals end minus start

(-7,-7)-(5,9)=
(-7-5,-7-9)=(-12,-16)

(-12,-16) gives us the distance point coordinates. Now to find the magnitude we can take sqrt((-12)^2+(-16)^2)=20

So the distance between the two points is 20

I hope this helps

Factor 24j-1624j−1624, j, minus, 16 to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:

Answers

Answer:

8(3j-2) and 4(6j−4)

there you go!!

(-1)^2 × (-1)^3 × (-1)^5​

Answers

Answer:

1

Step-by-step explanation:

(-1)^2 = 1

(-1)^3 = -1

(-1)^5 = -1

(1) (-1) (-1) = 1

I need help with this plz

Answers

Answer: B

Step-by-step explanation:

The answer is B hope this helps


Your employer tells you that the salary for your new job will be less than $484 per week but not less than $396 per week. Which inequality describes your salary, S?

Answers

I think the inequality is less than or equal to (here what the sign looks like ≤ )

Jenny used the expression –16x2 + 38x + 5 to determine the height of an object x seconds after it was hit into the air. How long does it take the object to hit the ground?

Answers

Answer:

0<x<2.5

Step-by-step explanation:

-16x^2+38x+5 = 0

-16x^2+40x-2x+5 = 0

ROUGH WORK

[Product=-16×5=-80, Sum=38. (Product=40×-2, Sum=40-2) (40&-2)]

BACK TO EXPLAINATION

-8x(2x-5)-1(2x-5) = 0

x = -1/8, 2.5

0<x<2.5

Side c on a right triangle is ALWAYS the longest.
O No answer text provided.
O No answer text provided.
O True
O False

Answers

Answer:

the answer should be false..

I think the answer is true! On Quizzz.com the answer is true on there too

A fitness trainer sets the incline on a
treadmill to 7º. The walking surface is 5
feet (60 inches) long. Approximately how
many inches did the trainer raise the
end of the treadmill from the floor?

Answers

Answer:

Step-by-step explanation:

sin Ф equal the opposite leg of the triangle dividend by the hypotenuse

sin Ф = opp / hyp

the problem gave you the Ф (the angle 7°)

and the length of the hypotenuse (the walking surface 60 inches)  

You want to use the inches since the question wants to know how many inches off the floor is the end of the walking surface

sin 7 = opp / 60          solve for opp

60 × sin(7) = opp             use your calculator,   I don't have one handy


fish swims at an altitude of -20.2 meters. A bird flies at an altitude of 38.1 meters. Which of the following statements are true? PLZ HEPPO

Answers

Answer:

D and e

Step-by-step explanation:

i need help with this lol

Answers

The answer is A-5c+4

Answer:

Answer is A

Step-by-step explanation:

you first take the same like terms

8c+6-3c-2

8c and -3c are like terms 8c-3c=5c

+6 and -2 are like terms 6-2=4

5c+4

Help pls for brainlest and extra points i need done soon

Answers

Answer:

5/6= 10/12

12/100<10/12

what are the values of x and y

Answers

Answer:

Y: 145

X: 35

Hope I was able to help you, have a wonderful day!

HELLLLLP MEEEE IDENTIFY THE HEIGHT

Answers

Answer:

11

Step-by-step explanation:

The height is 11 inches.

There are two mystery numbers. The sum of 2 times the first number and 5 times the second number is -5. The sum of 3 times the first number and 10 times the second number is -5. What are the two numbers?

Answers

Answer:

the two numbers are -5 and 1

Step-by-step explanation:

Let x and y be the first number and second number respectively.

According to the question, we can find 2 equations:

2x + 5y = -5

3x + 10y = -5

On solving,

x = -5

y = 1

Answer:

X=-5,Y=1

Step-by-step explanation:

First equation: 2X+5Y=-5

Second equation:3X+10Y=-5

If we subtract the first from the second equation

(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0

So X= -5Y .then substitute in the second equation

So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1

Then substitute with that in the first equation so 2X+5= -5

2X= -10 therefore X=-5

What is the volume of this sphere rounded to the nearest hundredth?

Answers

Answer:

2144.7

Step-by-step explanation:

Volume of a sphere is V= [tex]\frac{4}{3} \pi r^{3}[/tex]

V= [tex]\frac{4}{3} \pi 8^{3}[/tex]

V=(4 /3)·π·8^3≈2144.66058 --> 2144.7

I NEED HELP PLZZ THE IS DUE TODAY PLZZ thank you

Answers

V=lwh

The height is 2 cubes, the length is 5 cubes, and the width is 3 cubes. Now you can just plug it into the formula.

V=lwh
V= 5x3x2
V=30

Hope this helps!! :)

Aaron saw it was 86° Fahrenheit, F, in Australia in January. Aaron used the formula C=5/9(F−32) to find the temperature in degrees Celsius, C. What temperature, in degrees Celsius, did Aaron find?

Answers

Answer:

[tex]30^{\circ}\text{C}[/tex]

Step-by-step explanation:

The temperature that Aaron saw was [tex]86^{\circ}\text{F}[/tex]

The formula to convert Fahrenheit to Celsius is

[tex]C=\dfrac{5]{9}(F-32)[/tex]

[tex]\Rightarrow C=\dfrac{5}{9}\times (86-32)[/tex]

[tex]\Rightarrow C=30^{\circ}\text{C}[/tex]

The given temperature in Celsius that Aaron found would be [tex]30^{\circ}\text{C}[/tex].

Kamogelo walks 1.25 km in 25 minutes and Masego walks 1.44 km in 30 minutes. If these are
their travelling times and distance to school then, who walks faster.​

Answers

Answer:

Kamogelo walks Faster

Step-by-step explanation:

1.25 km is less distant and in twenty five minutes it is fast enough.

.Mr. Morrison can do 120 jumping jacks in two minutes. Write an equation to represent how many jumping jacks Mr. Morrison can do in 5 minutes.

Answers

J equals number of jumping jacks and T for seconds J=2t every 2 seconds mr Morrison does 1 jumping Jack

Please need help
P(D^c) =

Answers

6.8 I think I don’t know but that’s what I think

I need help on this right now please help ASAP!!!

Answers

Answer:

C would be your answer

Step-by-step explanation:

Answer C, Over and Up

75 - 4w = 63 solve for w

Answers

Answer:

w3

Step-by-step explanation:

move the constant to the right hand side and change it's sign

calculate the difference

divide both sides of the equation by 4

9514 1404 393

Answer:

  w = 3

Step-by-step explanation:

Isolate the w term by subtracting the constant on that side.

  75 -75 -4w = 63 -75

  -4w = -12

Get w by itself by dividing by its coefficient.

  -4w/-4 = -12/-4

  w = 3

The functions u and w are defined as follows. =ux+−2x2 =wx−−x21 Find the value of wu−5.

Answers

Answer:

YStep-by-step explanation:

a polygon has perimeter 15 units.it is dilated with a scale factor of 3/5.what is the perimeter of its image

Answers

Given what we know, we can confirm that the perimeter of the image is  9 units.

Perimeter and Scale factor.To calculate the perimeter of a shape, we must add the length of all of its sides. When we dilate a shape, we multiply each of its sides by our scale factor.Our scale factor is [tex]\frac{3}{5}[/tex], which corresponds to 0.6 in decimal form Taking the sum of 15 as the perimeter of the preimage and multiplying by 0.6 gives us the perimeter of the image which is 9 units.

Therefore, given that  [tex]15units * \frac{3}{5} = 9 units[/tex], we can confirm that the perimeter of the image is 9 units.

To learn more about Scale factors visit:

https://brainly.com/question/8765466?referrer=searchResults

2. Find the missing side length.
Round answers to the nearest tenth.
13
29°
Х

Answers

Answer:

50

Step-by-step explanation:

Since it's a right angle, it's automadically 90 degrees. Add 29 + 13 which gives you 42. 90 - 42 gives you 48. Rounded to the nearest 10th is 50. Here's what I explained in numerical form:

29 + 13 = 42

90 - 42 = 48

Five or more raise the score. For or less turn to zero:

48

8 is larger than 5 so you add "plus 1" to the next number:

50

In a recent survey of 700 people, 15% said that red was their favorite color. How many people said that red was their favorite color?

Answers

Answer:

Answer: 105

Step-by-step explanation:

In a recent survey of 700 people, 15% said that red was their favorite colour. 105 people said read was their favorite colour.

Answer:

105

Step-by-step explanation:

5
Which of the following sets of values completes the function table?
Input (x)
3x-1
Output (y
2.
3(2) - 1
3
313) - 1
4
3[4)-1
A) 0,1,2
B 5, 8, 11
5, 6, 7
D) 6,9,12

Answers

Answer:

5, 8, 11

Step-by-step explanation:

3(2) - 1 = 5

3(3) - 1 = 8

3(4) - 1 = 11

Answer:

27,81

Step-by-step explanation:

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